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Finding the Third Proportional to 196,445 and 427,891

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Solution

The third proportional to 196,445 and 427,891 is: 932,020.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,445 : 427,891 = 427,891 : x
  2. Step 2: Convert to fraction form
    196,445/427,891 = 427,891/x
  3. Step 3: Cross multiply
    196,445x = 427,891 × 427,891
  4. Step 4: Simplify right side
    196,445x = 183,090,707,881
  5. Step 5: Solve for x
    x = 183,090,707,881/196,445
  6. Step 6: Final answer
    x = 932,020.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.